【急募】 大学の一般化学（量子力学）の問題です。 波動関数とか、ハミルトニアンとか、、、 わかる問題だけでもいいので解説をお願いします🙇‍♀️🙇‍♀️

全 xce 以下の問題に答えよ。 文字の定義は授業と同じ。 (1) 水素原子における電子のハミルトニアンは,次のように表される｡ H² (2 0 - (1² or) + A = - 2me ər (3) • ● Cear HA EGERSAR 0. ●(r, 0,y) = Cerがシュレディンガー方程式の解になるようにαを定め, エネルギー固有値を求めよ。 答えはボーア半径 (do AREOR² = ト) を使った表記とすること｡ meez (1,0p) = Crer coseがシュレディンガー方程式の解になるようにβを定め、エネルギー固有値を求め よ。 答えはボーア半径 (a 402. m₂e² を使った表記とすること。 ・規格化定数を求めるために以下の計算を行う。 空欄 ①~③を埋めよ。 以下の問いに答えよ。 AT THE ARE ● = 1 a 1 ²sine 00 (sines) + ²in²00²)- ressin20a2 Sy2dt = fffy2r2sin0drdodyを変数分離し,各変数ごとに定積分を行う。そ に関する定積分を実行すると (1) (B)-SIEDS F 9 に関する定積分を実行すると CARTE* ONE 31011218018 積分公式Sorne-br drを使ってrに関する定積分を実行すると 従ってC=1/√32ma5 水素様原子のシュレーディンガー方程式は 1²/10 a 1 ə rasino ao (1-²2 20 (²²0). + ər arl 2m (2) 水素原子における1s軌道の波動関数は Cer/ で与えられる｡ ただしは規格化定数である。 動径分 VEAU 布関数電子が原子核から距離rの球面上に存在する確率密度) の極大値を求めよ。 HOFFE HISENSE CO 2 SMERES a sino 200+ E = 4πεr 1 2² Ze² y(r,0,9). ressin2002 4πεor である (ポテンシャルエネルギーの項で, e2がZe2になっている)。 以下の問いに答えよ。 100 Jy² dr VEEBR 3 TERENGUKS GA ここで各原子 (4) H2分子の分子軌道を水素の1s原子軌道XA XBの線形結合↓ =CaX^+ CaXで近似する。 軌道の中心はそれぞれ原子核 (H+) A, B である。 1電子エネルギーの期待値は=(2) Syd_cha+Cfa + 2CACBβ (8− 1)\1 = (x1 T4² dr C+C E = で与えられる。 ただしα, βはそれぞれクーロン積分, 共鳴積分であり、重なり積分は無視している。 ERSACERO 以下の問いに答えよ。 (1) Eが最小になる条件から永年行列式を導け。 永年行列式を解いて、 結合性軌道のエネルギーを求めよ。 1 514 r' =Zrとおいてrとp(r', 0,p)を用いたシュレディンガー方程式を書け。 水素原子の規格化された原子軌道とエネルギーをそれぞれce", Enとして, 水素様原子の1s軌道 のエネルギーと規格化された波動関数を求めよ。 答えにC, α, Enを使ってよい。 C²+C² (r,0,0) = E(r,0,9) (5) 異核2原子分子 AB の分子軌道を原子軌道XA XBの線形結合 = CAXA CBXBで近似すると, 1電子工 ネルギーの期待値は Sdr_chan+Cfap+2C^CBβ TOUCU BOUCA

8番ですが、本文の内容に合っているか合っていないか、どちらにもとれそうで迷っています。 教えていただきたいです。

20 D 007 feel guilty about eating so much. People tease me for being fat and I pretend it Hello Sarah) I've put on a lot of weight recently. I make myself sick when I doesn't bother me, but I cry myself to sleep. My family says nasty things about my size, too. Please help me lose weight. 5 15歳の女の子の悩みの相 Barbara, 15 Sarah says: Hello, Barbara. Please try to stop making yourself sick. Beauty comes from within and in all shapes and sizes. The main thing is to be healthy. This can be done through your diet and by exercising. (It's unkind of your family to tease but pl" t ↳ To Tease 10 maybe they don't know that it upsets you So tell them how you feel. Ask your mom to help you follow a healthy, low-fat diet. Cut back on potato chips, cakes and sweets. Why not take up swimming or jogging? By eating healthily and exercising, your body will naturally reach a healthy weight. Don't skip meals, go on a crash diet, or make yourself sick. You may damage your body 15 if it doesn't receive the right nutrients. If you can't talk to your mom, your doctor will help. If you are unable to stop making yourself sick, call the Eating Disorder Association Helpline. Eating Disorder Association Helpline 01603765 050 Monday-Friday, between 4 p.m. and 6 p.m. Email: eda@netcom.co.uk

英読解の問題です。 すっかり忘れてしまったため何も分かりません。 3問教えて欲しいです。お願いします><

5. 次のメッセージを読み、 [4×3=12] (1)~(3) A~Dで適切なものに○をつけなさい。 Sarah Rogovin [09:20 A. M.] Good morning. Li Na and Dave. Could you let me know the latest on the Taipei trip? Li Na Tsai [09:25 A. M.] Everything is prepared at this end. I've booked a meeting room for three days, ordered refreshments, and arranged daily taxis to and from your hotel. Sarah Rogovin [09:28 A. M.] Fantastic. Did you remember that three people are vegetarian? Li Na Tsai [09:30 A. M.] Yes, they have separate meals. The price is actually a little lower for them. Dave Kaplan [09:31 A. M. 1 And I just confirmed the new flights for you and Chen Wang. Sarah. You're now flying direct from Singapore to Taipei at 6 P. M. on Sunday. My apologies again for the misunderstanding. Sarah Rogovin [09:34 A. M.] Thanks for sorting that out. Dave. This makes the journey much easier. Could you e-mail the electronic ticket to Chen Wang when you receive it, please? Dave Kaplan [09:35 A. M.] Consider it done. Li Na Tsai [09:37 A. M.] Sarah, I've arranged for a projector, but do you also need a laptop set up in the meeting room? Also, the staff there will give you an access code for the room; you may need to ask for it. a Wi-Fi signal Sarah Rogovin [09:40 A. M.] As you said previously that there's throughout the hotel you've booked, I'll use my own. Thanks again for your hard work, both of you. (1) Why does Ms. Rogovin ask about food? (A) She wants to eat in a separate room. (B) Her colleague forgot to order meals last time. (C) Some attendees don't eat meat. (D) She thinks the meals are too (2) What is suggested about the flights? (A) They are booked for Sunday morning. (B) The original booking was incorrect. (C) A discount was offered on the price. (D)) There will be a short stop on the route. (3) At 9:35 A. M.. what does Mr. Kaplan mean when he writes, "Consider it done" ? (A) He will forward a document. (B) He will call Mr. Wang. (C) He will reserve two seats. (D) He will order a taxi.

教えてください

(15) She is proud of her son's ( )aregular player. 彼女は息子が正選手であることを誇りに思っている。 ) ( 彼女は叱られることを嫌う。 (16) She dislikes ( ). ※叱る scold 問3. 日本語の意味になるように動名詞を用いた英文を[]内の語句を参考にして作りな さい。 ただし、[ ]内では動詞はすべて原形で示している。 (17) 英語を勉強することは私にとって面白い。 [English, study, me, for, fun, be] (18) 彼の趣味は切手を集めることだ。 [his hobby, postage stamps, collect, be] (19) 彼女はその部屋を掃除することを始めた。 [she, the room, clean, begin] (20) 私たちは昨年中国で旅行することを楽しみました。 [ we, last year, in China, travel, enjoy] (21) あなたは彼のオフィスを訪ねたことを覚えていますか。 [you, his office, visit, remember] (22) 私は漫画を読むことが好きだ。 [I, comics, read, like ] (23) 私は漫画を読むことが好きだ。 [I.comics, read, be fond of ] (24) 彼はラテン音楽を聞くことに興味をもっている。 [he, Latin music, listen to, be interested in] (25) 遅刻してすみません(私は遅刻したことに対して済まなく [I be late, sorry, for, be]

見にくいですが、1.の答え合わせと、2の回答を教えて下さい。

1 Complete the sentences with a, an, the or no article (-). 1 Is there a hotel? my bus to the airport from 2 Our centre is equipped with the latest facilities. 3 How long have you been learning to speak ____ Chinese? 4 Could I have a cup of tea, please? 5 Sorry, but he isn't at _____ work today. 6 A main exhibition centre is over there. 7 He's a person I mentioned during dinner. You should meet him. 8 Is this an information you wanted? 9 What time's my flight to the USA? 10 I normally travel by a bicycle. 11 I love the vegetarian food. 12 The greatest innovation of twentieth century was the Internet. 13 Are we meeting again on the Thursday? 14 Hi. My name's Elaine Keevey and I'm an accountant. 2 Read eight rules and guidelines for staff working at a conference centre. Add the correct article(s). the 1 All staff must be polite and helpful to trade fair delegates. 2 Remember to wear ID badge at all times. the 3 Check visitors' names on registration list when they enter main venue. 4 If you see visitor who looks lost, immediately offer to help. 5 Staff not wearing uniform will be sent home. 6 Exhibition centre is always closed to visitors on Mondays. 7 For information, direct visitors to Central Registration Desk. 8 If you travel by car, please park in Staff Car Park.

自分の回答があっているか不安なので、４第答えて頂きたいです。 自分の回答はこちらには見にくくなってしまうため書いていません。

Working with words 1 Complete the review of a hotel. Use the answers to complete the puzzle and find the European city where the hotel is located. HOTEL REVIEWS This first-class hotel and conference centre welcomes guests from all over the world. Its 1 facilities are second to none. There are 300 en-suite rooms and five apartment suites. For business guests, it has ten meetings rooms, two of which are big enough to be used as halls. 2 The hotel can also organize events such as guided 3 around the town centre for conference 4 and hotel guests who enjoy a bit of 5 For food-lovers, the four-star restaurant serves regional 6 every evening. All in all, this is a top-class for business and for pleasure. 7 6 1 A fa 0 il i t 1 e S 2 Replace the words in italics (1-8) with the phrases from the list. Add a pronoun if necessary. you hotel? look around meet up with show someone around 3 freshen up eat out pick someone up check in drop someone off Pedro It's difficult to park here. Can I stop and leave drop you off in front of the 1 Sabrina Sure, I'll register 2 and then I'd like to have a wash, and change my clothes 3 Pedro If you like, tonight I can give you a tour of 4 the old city. We could by eat in a restaurant 5 the port. Sabrina That sounds great! I'd rather walk about and See 6 the city than stay in my hotel room. Pedro I'll collect you 7 8 8.30 p.m. We'll see Alberto and Maite in the main square. at Business communication 1 Put the words in the correct order to make expressions. 1 meet person / it's / nice / to / you / in It's nice to meet you in person 2 have / did / finding / you/ any / trouble / us? 3 worry / signing / don't / about / in 4 through / programme / I'll / run / today's 5 this my / come / way / to / office 6 need building / you'll / this / enter / badge/ the / to 7 reception / sure / make / in / at / you / sign 2 Raymond Roberts has an appointment with Janet Rose. He has just arrived at HBG premises. Complete their conversation with the phrases from the list. let me take your bag can I get you a drink Welcome to HBG publishing I thought you could catch up again how was your journey You'll need this Make sure you 1 Raymond Good morning, I'm here to see Janet Rose. Janet Hello, I'm Janet. ¹ Welcome to HBG publishing. Raymond It's nice to meet you in person. Janet Likewise. So, 2 Raymond Well, there were traffic jams on the motorway and I got a little bit lost in the industrial park. Janet Don't worry. That happens to everyone. Anyway, 3 - I'll store it in my office. Raymond I'll hang on to it if you don't mind. It's got all my stuff in it. Janet Well, if you change your mind just tell me. And 4 Raymond Thanks. I'll have a cup of tea, please. Janet Sure, I'll just get that for you in a second. First of all, I'll run through the schedule. 5 start by meeting Karen Rankin this morning and then we'll 6 at lunchtime. Raymond OK. And will I see Malcolm Briscoe? Janet Yes, in fact he's joining us for lunch. One other thing. security pass. at all times. 7 It's your 8 wear it

この英単語のクロスワードを解いてみてください

8 17 1 120 15 2 15 12 10 6 3 9 19 |18 13 16 4 11 14 7 Across 2. related to medicine 6. usually 8. a place like a school 9. without stopping and starting 12. not awake 14. put in order, best to worst 16. not old 17. put in the skin with a needle 19. The painting is on a dream. 20. Not many people came. There were only a of people. Down 1. fix 3. one's situation 4. not extreme; not hot/spicy 5. relaxed; -going 7. You can on me. Trust me! 10. study carefully 11. go all around 13. suggest 15. related to the mind 18. Ming is only 16, but he likes to himself off as 19.

（2）と（5）の単語が何が入るかわからないです。 うまく訳ができません。

次の英文の 2911 (a) significant MAS (f) outlook )に当てはまる単語を (a) から (j) から選び、その単語の記号を入れましょう。 消極的 不完全 強調される (d) imperfect (c) negative Ak (h) attitude (e) emphasized # # ₂ 7 3/4 (i) remarkably 認する (b) refer 217 (56 (g) connected Blony sil (1) Communicative ability is (e) in 征服する (i) conquer 0 in second lar second language teaching theory. (2) She had to ( ) her bad habit of smoking heavily when she drank. (3) China has a long history (with Confucianism and Taoism. (4) The results of the experiment are not statistically ( A ). (5) I think it is not an ( ) that adults should have. (6) I am happy to know that this medicine is (effective. (7) What noun does this "it" () to? ---Actually, I don't know. (8) The () on nature differs from religion to religion. 根本的に (9) Language is fundamentally (2) in the Zen way of thinking. (10) In the Shinto way of thinking, we have to avoid using (C) words.

総合英語FACTBOOK English Grammar Advanced New Editionの第7章p25の問題の答え持っている方がいましたら教えて頂きたいです！よろしくお願いします。

PP.86. できごとが 37~88 未来の時点 058 > 参照)。 p.88 059 がずっ はあ い Exercise 7 →A 1 Change the verb to the appropriate form and complete the sentences. 1) When I (arrive) at school, the class (already start). My teacher was angry. ¹0 2) I (never see ) Kabuki until I became a college student. A NO TEN 3) The actor (be) an extra for 20 years before he became famous. Helsink Doy bedefimar O 4) Miki noticed that she (lose) the key somewhere. the concede lbovoilen od tamm DOY Sevorse J'nei yu 2 Change the verb to the appropriate form and complete the sentences. leum JAKO-O 1) It (stop) raining by this time tomorrow. 2) Brazil (win) the World Cup six times if it wins it again. Menur of SVBIl (3) She (be) a math teacher for 30 years by March next year.m alterow hat bedone. 4)She will email us when she (read) the report (｢読んだら」の意で lanks isla (0707 754300 penlo sitt bus no 3 Change the verb to the appropriate form and complete the sentences. →C 1) Kate (watch) TV since she came home from school. 2) yem 8 My father (work) for over 15 hours when he left the office. 3) She (travel ) abroad since last month. Sni smoo I ysM O つける 4) We (run) for 10 minutes before the teacher shouted, "Stop!" in nisqe of og ysm sW 25 VEAU CO 20 4 Choose the appropriate form of the verb and complete the sentences. → A B C 1) I (read/ have been reading / had been reading) the book for six hours until I realized it was dark outside. compl c513 VIBEE 2) I want to read your novel first after you (wrote / have written / will have written) it. VE met / will have met ) him before. 3) I suddenly remembered I (have met / had 4) He (tries / has tried / has been trying) to solve the problem since this morning. 5 Put the words in the correct order to complete the sentences. 1) [in/people/ already / long before / arrived / America / had ] Columbus came. 2) Yesterday I found the book [ had / for a long time / for / been / looking /I]. 3) [long/you/ French literature / studying / have / how / been ]?ow an ingin W 4) The news says that they [ for / stayed / space / have / in / a month / will ] tomorrow. Put it into English - Context writing - 1) 父が帰宅したとき 私はテレビを2時間見ていた。 llow idgim \ yam I 078 11m B II WOTTOmol nis: lliw (O naquad Hiw etnobis.A 2) 彼は雨の中を歩いて帰宅したと私に言った。 3) 彼がバス停に着いたときには,最終バスはすでに出発していた。 nato biwow beh yM 4) その夜以前に父が歩いて帰宅したことは一度もなかった。 basd 6 yoy ovig ILO MA 312) Imid ymise I X40).sgo f'ow toob aidT ABC 25

10,68の答えがどうしてこのようになるか教えてください。 分野は重積分のストークスの定理です

By Green's theorem in space (divergence theorem). Prove that that (V x A) - n ds for any closed surface S. S Prove that 10.66. dS ff n ds = 0. where n is the outward drawn normal to any closed surface S. (Hint: Let A = Oc, SS S where c is an arbitrary vector constant.) Express the divergence theorem in this special case. Use the arbitrary property of c. 10.67. If n is the unit outward drawn normal to any closed surface S bounding the region V, prove that fff div n dv = S V Stokes's theorem 40.68. Verify Stokes's theorem for A = 2yi + 3xj - z²k, where S is the upper half surface of the sphere x² + y² + ² = 9 and C is its boundary. Ans. Common value = 9T 10.65. , y = 0,